2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96734The alpha-determinant unifies and interpolates the notion of the determinant and permanent. We determine the irreducible decomposition of the cyclic module of $gl_n(C)$ defined by the alpha-determinant. The degeneracy of the irreducible decomposition is determined by the content polynomial of a given partition.14 pagesRepresentation Theorytext